Question

In the given figure, $\angle QRN={40}^o,\angle PQR={46}^o$ and $MN$ is a tangent at $R$. What is the value $\left(indegrees\right)of$ x, y $and$ z respectively?

Answer 1

$z={90}^o$ (property of circle)

$z+46+x={180}^o$

$136+x=180$

$x=180-136$

$x={44}^o$

$40+44+4=180$

$y=180-84={96}^o$